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Finding the Third Proportional to 74,072 and 114,708

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Solution

The third proportional to 74,072 and 114,708 is: 177,636.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,072 : 114,708 = 114,708 : x
  2. Step 2: Convert to fraction form
    74,072/114,708 = 114,708/x
  3. Step 3: Cross multiply
    74,072x = 114,708 × 114,708
  4. Step 4: Simplify right side
    74,072x = 13,157,925,264
  5. Step 5: Solve for x
    x = 13,157,925,264/74,072
  6. Step 6: Final answer
    x = 177,636.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.